| Complexity of Infinite-Domain Constraint Satisfaction Contributor(s): Bodirsky, Manuel (Author) |
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ISBN: 1107042844 ISBN-13: 9781107042841 Publisher: Cambridge University Press OUR PRICE: $154.84 Product Type: Hardcover - Other Formats Published: June 2021 |
| Additional Information |
| BISAC Categories: - Mathematics | Logic - Computers | Programming - Object Oriented |
| Dewey: 005.116 |
| LCCN: 2021010432 |
| Physical Information: 1.31" H x 6" W x 9" (2.10 lbs) 300 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Constraint Satisfaction Problems (CSPs) are natural computational problems that appear in many areas of theoretical computer science. Exploring which CSPs are solvable in polynomial time and which are NP-hard reveals a surprising link with central questions in universal algebra. This monograph presents a self-contained introduction to the universal-algebraic approach to complexity classification, treating both finite and infinite-domain CSPs. It includes the required background from logic and combinatorics, particularly model theory and Ramsey theory, and explains the recently discovered link between Ramsey theory and topological dynamics and its implications for CSPs. The book will be of interest to graduate students and researchers in theoretical computer science and to mathematicians in logic, combinatorics, and dynamics who wish to learn about the applications of their work in complexity theory. |